Question

Let P(A) = 0.4, P(A| B) = 0.6 and P(B | A) = 0.75. a. P(A...

Let P(A) = 0.4, P(A| B) = 0.6 and P(B | A) = 0.75. a. P(A ∩ B) b. P(B) c. P(A ∪ B) d. P(A ∩ B) e. P(B | A)

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Homework Answers

Answer #1

a)

Using multiplication rule,

P(A B) = P(B | A) * P(A)

= 0.75 * 0.4

= 0.3

b)

P(A | B) = P(A B) / P(B)

So,

P(B) = P(A B) / P(A | B)

= 0.3 / 0.6

= 0.5

c)

P(A B) = P(A) + P(B) - P(A B)

= 0.4 + 0.5 - 0.3

= 0.6

d)

P(A B) = 0.3

e)

P(B | A) = 0.75

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